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Finding the Fourth Proportional to 2,375.52, 3,562.68 and 731.24

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Solution

The fourth proportional to 2,375.52, 3,562.68 and 731.24 is: 1,096.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375.52 : 3,562.68 = 731.24 : x
  2. Step 2: Convert to fraction form
    2,375.52/3,562.68 = 731.24/x
  3. Step 3: Cross multiply
    2,375.52x = 3,562.68 × 731.24
  4. Step 4: Simplify right side
    2,375.52x = 2,605,174.12
  5. Step 5: Solve for x
    x = 2,605,174.12/2,375.52
  6. Step 6: Final answer
    x = 1,096.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.